What is the smaller angle between the hour hand and the minute hand of a clock at 3:40?

Explanation

1. 01

   Angle $= |30h - 5.5m| = |30 \times 3 - 5.5 \times 40|$.

2. 02

   $= |90 - 220| = 130^\circ$. This is less than $180^\circ$, so it is the angle asked for.